Ryan bought 93 staplers and Neave bought 98 staplers. After Neave used
25 times as many staplers as Ryan, he was left with twice as many staplers as Ryan. How many staplers did each of them have in the end?
- Ryan
- Neave
| |
Make p the same.
(1)x2 = (3) |
Ryan
(1) |
Neave
(2) |
| Before |
186 |
93 |
98 |
| Change |
- 10 u |
- 5 u |
- 2 u |
| After |
2 p |
1 p |
2 p |
(a)
93 - 5 u = 1 p --- (1)
98 - 2 u =
2 p --- (2)
(1)
x2
186 - 10 u =
2 p --- (3)
(3) = (2)
98 - 2 u = 186 - 10 u
10 u - 2 u = 186 - 98
8 u = 88
1 u = 88 ÷ 8 = 11
Number of staplers that Ryan had in the end
= 93 - 5 u
= 93 - 5 x 11
= 93 - 55
= 38
(b)
1 p = 38
Number of staplers that Neave had in the end
= 2 p
= 2 x 38
= 76
Answer(s): (a) 38; (b) 76
